Atkin-Lehner |
2- 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76342p |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
1560225272704 = 27 · 77 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -1 1 7- 0 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7155,-228047] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:609:8] [-53:102:1] |
Generators of the group modulo torsion |
j |
344324701729/13261696 |
j-invariant |
L |
13.693747090001 |
L(r)(E,1)/r! |
Ω |
0.52032638419078 |
Real period |
R |
0.46995732960715 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906j1 |
Quadratic twists by: -7 |